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Finding the Fourth Proportional to 11,649.49, 17,461.05 and 5,713.63

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Solution

The fourth proportional to 11,649.49, 17,461.05 and 5,713.63 is: 8,563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.49 : 17,461.05 = 5,713.63 : x
  2. Step 2: Convert to fraction form
    11,649.49/17,461.05 = 5,713.63/x
  3. Step 3: Cross multiply
    11,649.49x = 17,461.05 × 5,713.63
  4. Step 4: Simplify right side
    11,649.49x = 99,765,979.11
  5. Step 5: Solve for x
    x = 99,765,979.11/11,649.49
  6. Step 6: Final answer
    x = 8,563.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.